A symmetric quandle is a quandle with a good involution. For a knot in ℝ³, a knotted surface in ℝ⁴ or an n-manifold knot in , the knot symmetric quandle is defined. We introduce the notion of a symmetric quandle presentation, and show how to get a presentation of a knot symmetric quandle from a diagram.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-6, author = {Seiichi Kamada}, title = {Quandles and symmetric quandles for higher dimensional knots}, journal = {Banach Center Publications}, volume = {102}, year = {2014}, pages = {145-158}, zbl = {1312.57029}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-6} }
Seiichi Kamada. Quandles and symmetric quandles for higher dimensional knots. Banach Center Publications, Tome 102 (2014) pp. 145-158. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc103-0-6/